Finding the Third Proportional to 500,642 and 1,036,772

Step by Step Solution

1. Step 1: Write the proportion equation
   500,642 : 1,036,772 = 1,036,772 : x
2. Step 2: Convert to fraction form
   500,642/1,036,772 = 1,036,772/x
3. Step 3: Cross multiply
   500,642x = 1,036,772 × 1,036,772
4. Step 4: Simplify right side
   500,642x = 1,074,896,179,984
5. Step 5: Solve for x
   x = 1,074,896,179,984/500,642
6. Step 6: Final answer
   x = 2,147,035.57